Square root of 5756

The square root of 5756 is 75.868307 (rounded to 6 decimal places). In simplest radical form it is 2√1439.

Square root of 5756

Pick any whole number from 1 to 10,000.

\sqrt{5756} = 2\sqrt{1439} \approx 75.868307

How to work it out

1
The square root of 5756 is the number that multiplied by itself gives 5756.
2
5756 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5756 = 4 × 1439, so
$\sqrt{5756} = \sqrt{4 \times 1439} = 2\sqrt{1439}$
4
A calculator, or long division of digits, gives
$\sqrt{5756} \approx 75.868307$

LaTeX source of the formulas on this page

\[ \sqrt{5756} = 2\sqrt{1439} \approx 75.868307 \]
\[ \sqrt{5756} = \sqrt{4 \times 1439} = 2\sqrt{1439} \]
\[ \sqrt{5756} \approx 75.868307 \]

What is the square root of 5756?

The square root of 5756 is 75.868307 (rounded to 6 decimal places). In simplest radical form it is 2√1439.

Is 5756 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5756 squared?

5756 × 5756 = 33131536.

What is the square root of 5756 rounded to 2 decimals?

75.87.